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- Bernoulli_trial abstract "In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. The mathematical formalization of the Bernoulli trial is known as the Bernoulli process. This article offers an elementary introduction to the concept, whereas the article on the Bernoulli process offers a more advanced treatment.Since a Bernoulli trial has only two possible outcomes, it can be framed as some "yes or no" question. For example:Is the top card of a shuffled deck an ace?Was the newborn child a girl?Therefore, success and failure are merely labels for the two outcomes, and should not be construed literally. The term "success" in this sense consists in the result meeting specified conditions, not in any moral judgement. More generally, given any probability space, for any event (set of outcomes), one can define a Bernoulli trial, corresponding to whether the event occurred or not (event or complementary event). Examples of Bernoulli trials include:Flipping a coin. In this context, obverse ("heads") conventionally denotes success and reverse ("tails") denotes failure. A fair coin has the probability of success 0.5 by definition. In this case there are exactly two outcomes.Rolling a die, where a six is "success" and everything else a "failure". In this cases there are six outcomes, and the event is a six; the complementary event "not a six" corresponds to the other five outcomes.In conducting a political opinion poll, choosing a voter at random to ascertain whether that voter will vote "yes" in an upcoming referendum.↑".
- Bernoulli_trial thumbnail Bernoulli_trial_progression.svg?width=300.
- Bernoulli_trial wikiPageID "102653".
- Bernoulli_trial wikiPageLength "7615".
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- Bernoulli_trial wikiPageRevisionID "664635734".
- Bernoulli_trial wikiPageWikiLink 1_(number).
- Bernoulli_trial wikiPageWikiLink Bernoulli_distribution.
- Bernoulli_trial wikiPageWikiLink Bernoulli_process.
- Bernoulli_trial wikiPageWikiLink Bernoulli_sampling.
- Bernoulli_trial wikiPageWikiLink Bernoulli_scheme.
- Bernoulli_trial wikiPageWikiLink Binomial_coefficient.
- Bernoulli_trial wikiPageWikiLink Binomial_distribution.
- Bernoulli_trial wikiPageWikiLink Binomial_proportion_confidence_interval.
- Bernoulli_trial wikiPageWikiLink Category:Coin_flipping.
- Bernoulli_trial wikiPageWikiLink Category:Probability_theory.
- Bernoulli_trial wikiPageWikiLink Coin_flipping.
- Bernoulli_trial wikiPageWikiLink Collectively_exhaustive_events.
- Bernoulli_trial wikiPageWikiLink Complementary_event.
- Bernoulli_trial wikiPageWikiLink Dice.
- Bernoulli_trial wikiPageWikiLink Equally_likely_outcomes.
- Bernoulli_trial wikiPageWikiLink Event_(probability_theory).
- Bernoulli_trial wikiPageWikiLink Experiment_(probability_theory).
- Bernoulli_trial wikiPageWikiLink Fair_coin.
- Bernoulli_trial wikiPageWikiLink Independence_(probability_theory).
- Bernoulli_trial wikiPageWikiLink Jacob_Bernoulli.
- Bernoulli_trial wikiPageWikiLink Multiplicative_inverse.
- Bernoulli_trial wikiPageWikiLink Mutual_exclusivity.
- Bernoulli_trial wikiPageWikiLink Mutually_exclusive.
- Bernoulli_trial wikiPageWikiLink Negative_binomial_distribution.
- Bernoulli_trial wikiPageWikiLink Odds.
- Bernoulli_trial wikiPageWikiLink Odds_(statistics).
- Bernoulli_trial wikiPageWikiLink Opinion_poll.
- Bernoulli_trial wikiPageWikiLink Outcome_(probability).
- Bernoulli_trial wikiPageWikiLink Poisson_sampling.
- Bernoulli_trial wikiPageWikiLink Poisson_trial.
- Bernoulli_trial wikiPageWikiLink Probability.
- Bernoulli_trial wikiPageWikiLink Probability_space.
- Bernoulli_trial wikiPageWikiLink Random_variable.
- Bernoulli_trial wikiPageWikiLink Sampling_design.
- Bernoulli_trial wikiPageWikiLink Statistically_independent.
- Bernoulli_trial wikiPageWikiLink Statistics.
- Bernoulli_trial wikiPageWikiLink Unity_(mathematics).
- Bernoulli_trial wikiPageWikiLink Yahtzee.
- Bernoulli_trial wikiPageWikiLink File:Bernoulli_trial_progression.svg.
- Bernoulli_trial wikiPageWikiLinkText "Bernoulli random variables".
- Bernoulli_trial wikiPageWikiLinkText "Bernoulli trial".
- Bernoulli_trial wikiPageWikiLinkText "Bernoulli-distributed".
- Bernoulli_trial wikiPageWikiLinkText "trial".
- Bernoulli_trial hasPhotoCollection Bernoulli_trial.
- Bernoulli_trial id "p/b015690".
- Bernoulli_trial title "Bernoulli trials".
- Bernoulli_trial wikiPageUsesTemplate Template:Cite_web.
- Bernoulli_trial wikiPageUsesTemplate Template:Commons_category.
- Bernoulli_trial wikiPageUsesTemplate Template:Reflist.
- Bernoulli_trial wikiPageUsesTemplate Template:Springer.
- Bernoulli_trial subject Category:Coin_flipping.
- Bernoulli_trial subject Category:Probability_theory.
- Bernoulli_trial hypernym Experiment.
- Bernoulli_trial type Organisation.
- Bernoulli_trial comment "In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. The mathematical formalization of the Bernoulli trial is known as the Bernoulli process.".
- Bernoulli_trial label "Bernoulli trial".
- Bernoulli_trial sameAs Assaig_de_Bernoulli.
- Bernoulli_trial sameAs Provo_de_Bernoulli.
- Bernoulli_trial sameAs Ensayo_de_Bernoulli.
- Bernoulli_trial sameAs آزمایش_برنولی.
- Bernoulli_trial sameAs Épreuve_de_Bernoulli.
- Bernoulli_trial sameAs Bernoulli-teszt.
- Bernoulli_trial sameAs ベルヌーイ試行.
- Bernoulli_trial sameAs 베르누이_시행.
- Bernoulli_trial sameAs Бернуллийн_туршилт.
- Bernoulli_trial sameAs Bernoulli-experiment.
- Bernoulli_trial sameAs Bernoulli-forsøk.
- Bernoulli_trial sameAs Próba_Bernoulliego.
- Bernoulli_trial sameAs m.0pz1m.
- Bernoulli_trial sameAs Bernoullijev_poskus.
- Bernoulli_trial sameAs Q1077800.
- Bernoulli_trial sameAs Q1077800.
- Bernoulli_trial sameAs 伯努利試驗.
- Bernoulli_trial wasDerivedFrom Bernoulli_trial?oldid=664635734.
- Bernoulli_trial depiction Bernoulli_trial_progression.svg.
- Bernoulli_trial isPrimaryTopicOf Bernoulli_trial.